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Finding the Fourth Proportional to 2,118.45, 3,174.16 and 1,499.08

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Solution

The fourth proportional to 2,118.45, 3,174.16 and 1,499.08 is: 2,246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.45 : 3,174.16 = 1,499.08 : x
  2. Step 2: Convert to fraction form
    2,118.45/3,174.16 = 1,499.08/x
  3. Step 3: Cross multiply
    2,118.45x = 3,174.16 × 1,499.08
  4. Step 4: Simplify right side
    2,118.45x = 4,758,312.28
  5. Step 5: Solve for x
    x = 4,758,312.28/2,118.45
  6. Step 6: Final answer
    x = 2,246.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.